Answers
Answer: [tex]\sqrt{6}[/tex]
This is the same as typing in sqrt(6)
=======================================================
Explanation:
The square has all four sides the same length, which in this case is [tex]\sqrt{3}[/tex] units.
The diagonal of the square splits it into two identical right triangles.
Use the Pythagorean Theorem to find the hypotenuse x, aka the diagonal.
[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\x = \sqrt{\left(\sqrt{3}\right)^2+\left(\sqrt{3}\right)^2}\\\\x = \sqrt{3+3}\\\\x = \sqrt{6}\\\\[/tex]
Or you can take the shortcut
[tex]\text{hypotenuse} = (\text{leg})*\sqrt{2}\\\\x = \sqrt{3}*\sqrt{2}\\\\x = \sqrt{3*2}\\\\x = \sqrt{6}\\\\[/tex]
Which applies to 45-45-90 right triangles.
let's recall that a square has four equal sides, Check the picture below.
Related Questions
how do I find the slope with negative fractions
Answers
For example
-3/-2
go down 3 and go left 2
While performing a vertical line test on a graph, you notice that the graph intercepts the vertical line twice. Which of the following correctly interprets the result of the test? (1 point) Because the vertical line intercepted the graph exactly twice, the graph is of a function. Because the vertical line intercepted the graph more than once, the graph is of a relation, but it is not a function. Because the vertical line did intercept the graph exactly twice, the graph is a function and a relation. Because the vertical line intercepted the graph more than once, the graph is of a function, but it is not a relation.
Answers
Answer:
The correct option is;
Because the vertical line intercept the the graph more than once, the graph is of a relation but it is not a function
Step-by-step explanation:
A function is a kind of relation that maps a given set of inputs unto a set of outputs such that each of the values of the input can be linked to only one value of the output, such that the input and outputs form a set of ordered pairs
Therefore, a relation which maps a given input to more than one output is not a function, as such, given that the line intercepts the vertical line twice, then for a given value of x, which is the input, there are more than one value of y, which is the output, as such the relation is not a function.
Help me with this please :)
Answers
Answer:
I hope it helped you
D 4. Solve 8n + 20 < 6n + 24.
O n>-2
On<-2
On>2
On<2
Answers
Answer:
8n + 20 + 6n +24
Step-by-step explanation:
Group like terms
8n + 6n + 20 + 24
Simplify
14n + 44
Answer: n<2
Step-by-step explanation: I got it right on the test :)
If a = 4 and m = –3, evaluate a – 3m.
Answers
Answer:
13
Step-by-step explanation:
If a = 4 and m = –3, evaluate a – 3m.
= Solution,
= a - 3m
= 4 - 3 ( - 3 )
= 4 + 9
= 13
Answer:
13 is the answer :)
Step-by-step explanation:
If,
a = 4 and m = -3
Then a - 3m ,
4 - 3(-3)
4+9
= 13
Can anyone help me please
Answers
Answer:correct
Step-by-step explanation: your answer is partially correct but not fully try developing it a little more will you
Find the equation of this line.
y = x + [ ]
Answers
The Equation of line is y = -x + 3.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Take the points (4, -1) and (0, 3).
so, the slope of line is
m = (3+ 1)/ (0-4)
m = 4/ (-4)
m = -1
So, the equation of line
y= mx+ b
y= -x + b
and, 3 = b
So, the required equation is y = -x + 3.
Learn more about Slope here:
https://brainly.com/question/3605446
#SPJ2
Which equation represents each dimension of the larger triangle, y, based on the corresponding dimension of the smaller triangle, x?
Y= 2/3x
Y= 3x
Y= 1/3x
Y= 3/2x
How can you use the given side lengths of the triangles to check if your equation is correct?
Answers
Answer:
(b) y = 3x; check using dimensions from the figure
Step-by-step explanation:
The dimensions in the larger triangle are more than the dimensions in the smaller triangle. That means the smaller dimensions need to be multiplied by a value greater than 1 to get the larger dimension. (This eliminates the 1st and 3rd choices.)
__
EquationThe figures are drawn approximately to scale, so it is easy to see that the larger triangle's dimensions are more than double (2 times) those of the smaller triangle. (This eliminates the 4th choice. 3/2 < 2)
The equation that represents the larger dimensions in terms of the smaller ones is ...
y = 3x
__
CheckYou can check this by choosing a smaller dimension and using that in the equation:
bottom leg = 3 in
larger bottom leg = y = 3(3 in) = 9 in . . . . matches the diagram
need help on these 3 questions pls.
1. c^2 = 64 solve for c
2. 2b + 3 = 13 solve for b
3. 5x^2y^3 / 25xy^4 simplify
Answers
Answeryes i cn answer
Step-by-step explanation:
i speakdh enlis
Answer:
1.C²= 64
√C² = √64
C = 8
2. 2b + 3 = 13
grouping liked terms
2b = 13 -3
2b = 10
dividing through by coefficient of b
b = 5
3.5x²y³/25xy⁴
= x/5y
Students reported practicing violin during the last semester for 45, 38, 52, 58, and 42 hours. What is the mean absolute deviation for the number of hours students practiced the violin? Round to the nearest tenth. 6. 4 6. 8 32 47.
Answers
The mean absolute deviation for the number of hours students practiced the violin is 6.4.
What is the mean absolute deviation?
The average absolute deviation of the collected data set is the average of absolute deviations from a center point of the data set.
Given
Students reported practicing violin during the last semester for 45, 38, 52, 58, and 42 hours.
The given data set is;
45, 38, 52, 58, 42
Mean Deviation = Σ|x − μ|/N.
μ = mean, and N = total number of values
|x − μ| = |45 − 47| = 2
|38− 47| = 9
|52− 47| = 5
|58− 47| = 11
|42− 47| = 5
The mean absolute deviation for the number of hours students practiced the violin is;
[tex]\rm Mean =\dfrac{2+9+5+11+5}{5}\\\\Mean=\dfrac{32}{5}\\\\Mean = 6.4[/tex]
Hence, the mean absolute deviation for the number of hours students practiced the violin is 6.4.
To know more about mean value click the link given below.
https://brainly.com/question/5003198
(1,4) (6,-1) write an equation of the line that passes through each pair of points.
Answers
Answer:
y =- x+5
Step-by-step explanation:
hello :
note :
Use the point-slope formula.
y - y_1 = m(x - x_1) when : x_1= 1 y_1= 4
m is the slope m=(y_1 - y_2)/( x_1 - x_2) and x_2=6 y_2= -1
m = (4+1)/(1-6)= 5/-5 = -1
an equation is : y-4 =-1(x - 1) means : y =- x+5
Point P is on a unit circle. Solve for the coordinates of P. Show your work and explain the steps you used to solve. Round your answer to the nearest thousandth.
Answers
Answer:
i wish i knew :((
Step-by-step explanation:
im sorry
Can someone tell me the answer plz I’ll give brainlist and points Don’t answer if you don’t know plz
Answers
Answer:
g - 4
Step-by-step explanation:
[tex]\frac{24}{6}=4[/tex]
g - [tex]\frac{24}{6}[/tex] = g - 4
Solve the inequality for x.
1/2x + 4 < 3x -1
Answers
Answer:
x>2
Step-by-step explanation:
Billy went to the hardware store and bought 18 identical sections of pipe. The total length of the pipes was 45.18 meters. How
long was each pipe?
Answers
Answer:
2.51 meters
Step-by-step explanation:
The total length of the pipes was 45.18 meters
45.18/18 = 2.51 meter each identical section of pipe
Paul has an eight-year loan with a principal of $26,900. The loan has an interest rate of 8.18%, compounded quarterly. If Paul pays $1,527 in service charges and makes quarterly payments on his loan, what will his total finance charge be when the loan is repaid? Round all dollar values to the nearest cent. a.$10,588.28 b.$11,546.36 c.$11,370.04 d.$1,527.00 Please select the best answer from the choices provided A B C D Mark this and return
Answers
Answer:
The answer is "option b"
Step-by-step explanation:
Amount = $26,900
r= 0.0818 %
[tex]i=\frac{r}{4}\\\\[/tex]
[tex]=\frac{0.0818}{4}\\\\=0.02045[/tex]
t= 8 years
[tex]n= 8 \times 4[/tex]
[tex]=32[/tex]
[tex]D=\frac{1-(1+i)^{-n}}{i}\\[/tex]
[tex]=\frac{1-(1+0.02045)^{-32}}{0.02045}\\\\=\frac{1-(1.02045)^{-32}}{0.02045}\\\\=\frac{1-0.52319627}{0.02045}\\\\=\frac{0.47680373}{0.02045}\\\\=23.3155858[/tex]
[tex]Q= \frac{Amount}{Discount \ factor }\\[/tex]
[tex]=\frac{26900}{23.3155858} \\\\=1153.73468[/tex]
Payment [tex]=1153.73468 \times 32\\\\[/tex]
[tex]= \$ 36919.5098\\[/tex]
[tex]\text{Total interest = Payment - amount}[/tex]
[tex]= \$ 36919.5098 - \$ 26900 \\\\ = \$ 10019.5098[/tex]
[tex]\text{Finance charge = Total interest + service charge}[/tex]
[tex]= \$ 10019.5098 + \$ 1527\\\\ = \$ 11546.5098[/tex]
Answer:
B just took the test
Step-by-step explanation:
How solve step by step -5р - 9 + 8р = 36
Answers
Answer:
-5p-9+8p=36
-5p+8p=36+9
3p= 45
3p/3=45/3
p=15
Answer:
p= 15
Step-by-step explanation: Hope this helps you!! :)
!No Links; Please
2x+3(x^2-10x-12)
find the product
Answers
Answer: 3x^2-28x-36
hope it helps :)
9) What information is used to calculate your credit score?
A) credit report and bank statements
B) the average credit history from the previous year
C) information contained on a credit report from the last three months
D) the information that appears on your credit report the day a score is calculated
Answers
Answer:
The average credit history from the previous year is used to calculate your credit score.
Answer:
"The average credit history from the previous year is used to calculate your credit score."
Step-by-step explanation:
THE CHOSEN ONE SAID THIS
Please help me add 5 3/4 + (-1/4), - 2/3 + 1/6, 8/5 + (- 3/4).
Answers
Answer:
1. 11/2
2. -1/2
3. 17/20
Step-by-step explanation:
please helpppp!!!!im too confused
Answers
Answer:
C.9964
B.896
Step-by-step explanation:
C.94*106=9964
If the degree measure of angle a = 122 in the degree measure of angle J = 125, offer the degree measure of angle c. PLEASE HELP ME ANSWER THIS QUESTION!!! WORTH 100 POINTS AND BRAINLIEST WILL BE MARKED!!!
Answers
Answer: 57
Step-by-step explanation:
Use the Distributive Property and simplify the expression. 11+5(2x − 3) + 1
Answers
Answer:I’m pretty sure the answer is 10x-3
Step-by-step explanation:
como podria la logica contribuir con la convivencia social
Answers
Answer:
para mí una lógica es como un motivé un impulso que hace que las personas aspiren e inspiren también trabajen más duro por su objetivo a través del trabajo en equipo también el trabajo en equipo incluye la convivencia social haciendo que puedan convivir juntos
The population of a village 1000 one year ago. The present population is 1021. find the population growth rate
Answers
Answer:
21 is increase in population
Louisa (L) is five years less than three times Brie’s age. Together, their age totals 43. How old is Louisa?
Answers
On certain highways the speed limit is 75 mph, at this rate how far would you travel in 2.5 hours.
Answers
Answer:
187.5mph
Step-by-step explanation:
If 1 hour= 75mph
what about 2.5 hours
you cross multiply
If VZ=p–7 and WY=p–21, what is the value of p?
Answers
Answer:
35
Step-by-step explanation:
By the triangle midsegment theorem, 2(WY)=VZ.
So, 2(p-21)=p-7, meaning p=35.
WHATS THE CUBE OF TWICE A NUMBER! PLEASE HELP!!!
Answers
Answer:i think it 5
Step-by-step explanation:
Answer:
Cube of twice a number? (I’ve never honestly heard that before)
(2x)^2
Step-by-step explanation:
X would equal “number”
Find the missing value for the following expression.
\frac{3}{5} = \frac{?}{15}
5
3
=
15
?
Answer:
is the missing value.
Answers
Answer:
9
Step-by-step explanation:
[tex]\frac{3}{5} = \frac{x}{15}[/tex]
Cross multiply
[tex]45=5x[/tex]
Divide both sides by 5
[tex]\frac{45}{5}=\frac{5x}{5}[/tex]
x = 9
The missing value is 9
~Learn with Lenvy~